13194 ÷ 8 = 1649 R2
Alright, let's work through the division of 13194 by 8 step by step.

Step 1:
8 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 8

Step 2:
8 goes into 13 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 13 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 8

Step 3:
8 goes into 51 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 48 from 51 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 8

Step 4:
8 goes into 39 4 times with a remainder of 7.
Write down 4 as next digit of of the result. 
Result so far: 164
Subtract 32 from 39 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 8

Step 5:
8 goes into 74 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 1649
Subtract 72 from 74 to get 2.

The final result is 1649 with a remainder of 2.